When the price of product a increases, the demand for product b increases as well. you can conclude that products a and b are: ?

2standard deviation a particular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?

The table shows the demand and supply schedules for magazines. complete the following sentences. the equilibrium price of a magazine is $ 4 and the equilibrium quantity is 150 magazines a week. price (dollars per magazine) quantity demanded quantity supplied (magazines per week) 3.00 160 138 3.50 155 144 4.00 150 150 4.50 145 156 5.00 140 161 now a fall in the price of a newspaper decreases the quantity demanded by 11 magazines a week at each price. at the original equilibrium price, a occurs. to return to equilibrium, the price of a magazine a. surplus; rises b. shortage; rises c. shortage; falls d. surplus; falls as the market returns to equilibrium, the quantity demanded and the quantity supplied a. decreases; increases b. decreases; decreases c. increases; decreases d. increases; increases the new equilibrium price is $ nothing a magazine.

Consider the following information on stocks a, b, c and their returns (in decimals) in each state: state prob. of state a b c boom 20% 0.27 0.22 0.16 good 45% 0.16 0.09 0.07 poor 25% 0.03 0 0.03 bust 10% -0.08 -0.04 -0.02 if your portfolio is invested 25% in a, 40% in b, and 35% in c, what is the standard deviation of the portfolio in percent? answer to two decimals, carry intermediate calcs. to at least four decimals.